A PTO (Power-Take-Off) implement (brush hog, bailer, etc.) for an agricultural tractor is engaged with the clutch as shown in the simplified sketch below. The clutch engagement is further simplified as follows. The mass moment of inertia of the implement is 8 lb-in-s. Neglect the mass moment of inertia of the clutch plates and shaft segments. The shaft AB in the tractor transmission has a length L of 42" long and is turning at a constant angular velocity of 220 rpm. The clutch engages the implement instantaneously from rest and the engine maintains a constant system angular velocity of 220 rpm. Shaft AB is to be made of a steel with s, -75 ksi and G=11.2x10 psi. Assume that the implement is very 'stiff' and does not deform meaning that shaft AB receives all the energy of the clutch engagement. Use the maximum-distortion-energy yield criteria and a factor of safety of N= 1.25 and the assumptions discussed in class. a) Determine the minimum diameter of a solid round shaft AB. Assume the factor of safety and other (conservative) assumptions are used to account for any stress concentrations. b) Using the minimum diameter, determine the angular windup of the shaft AB from the clutch engagement. c) If the PTO shaft, at minimum diameter, turns at 540 rpm, determine the maximum power that this shaft can deliver to an implement. A 42" TRANSMISSION SHAFT B MASSLESS CLUTCH PLATES IMPLEMENT.